R Notebook

To run an optimization I need for one district (Neukölln?) - residential buildings ~> children per building ~> children age 5/6 per block - capacity per school

Load all base data

sampled_buildings = read_csv('data/sampled_buildings.csv')

Parsed with column specification:
cols(
  OI = col_character(),
  long = col_double(),
  lat = col_double(),
  BLK = col_character()
)

bez = readOGR('data/RBS_OD_BEZ_2015_12.geojson', layer = 'OGRGeoJSON')

OGR data source with driver: GeoJSON 
Source: "data/RBS_OD_BEZ_2015_12.geojson", layer: "OGRGeoJSON"
with 13 features
It has 2 fields

blk = readOGR('data/RBS_OD_BLK_2015_12.geojson', layer = 'OGRGeoJSON')

OGR data source with driver: GeoJSON 
Source: "data/RBS_OD_BLK_2015_12.geojson", layer: "OGRGeoJSON"
with 15720 features
It has 4 fields

lor = readOGR('data/RBS_OD_LOR_2015_12.geojson', layer = 'OGRGeoJSON')

OGR data source with driver: GeoJSON 
Source: "data/RBS_OD_LOR_2015_12.geojson", layer: "OGRGeoJSON"
with 447 features
It has 8 fields

re_schulstand = readOGR('data/re_schulstand.geojson', layer = 'OGRGeoJSON')

OGR data source with driver: GeoJSON 
Source: "data/re_schulstand.geojson", layer: "OGRGeoJSON"
with 709 features
It has 20 fields

Load the huge route matrix

routen_matrix = read_csv('data/routen_matrix.csv') %>% mutate(distance=distance*60)

Parsed with column specification:
cols(
  src = col_character(),
  dst = col_character(),
  duration = col_double(),
  distance = col_double()
)

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Load school capacities and population data

TODO - neue Daten von Torres

kapas = read_csv('data/anmeldezahlen.csv') %>% filter(grepl('G', Schulnummer)) %>% filter(!is.na(`Plätze`))

Parsed with column specification:
cols(
  Bezirk = col_character(),
  Schulnummer = col_character(),
  Schulname = col_character(),
  Plätze = col_integer(),
  Anmeldungen = col_character()
)

einwohner_lor = read_delim('data/EWR201512E_Matrix.csv', delim=';')

Parsed with column specification:
cols(
  .default = col_character(),
  ZEIT = col_integer(),
  STADTRAUM = col_integer(),
  E_E = col_number(),
  E_EM = col_number(),
  E_EW = col_number(),
  E_E50_55 = col_number(),
  E_E25U55 = col_number(),
  E_E55U65 = col_number(),
  E_E65U80 = col_number()
)
See spec(...) for full column specifications.

Wo haben wir Kapazitäten?

re_schulstand_df %>% filter(grepl('G', spatial_name)) %>% mutate(BEZIRK=enc2utf8(as.character(BEZIRK))) %>%
  group_by(BEZIRK) %>% summarise(`Anzahl Schulen` = n()) %>%
  rename(Bezirk=BEZIRK) %>% left_join(kapas %>% group_by(Bezirk) %>% summarise(`Mit Kapazität` = n()))

Joining, by = "Bezirk"

Wir wählen einen Bezirk, wo wir von allen Schulen Kapas haben.

re_schulstand %>% as.data.frame() %>% filter(grepl('G', spatial_name)) %>% mutate(BEZIRK=enc2utf8(as.character(BEZIRK))) %>% group_by(BEZIRK) %>% summarise(`Anzahl Schulen` = n()) %>%
  rename(Bezirk=BEZIRK) %>% left_join(kapas %>% group_by(Bezirk) %>% summarise(`Mit Kapazität` = n())) %>% filter(`Anzahl Schulen` == `Mit Kapazität`)

Joining, by = "Bezirk"

bezirk = 'Tempelhof-Schöneberg'
schulen_mit_kapa = kapas %>% filter(Bezirk == bezirk) %>% .$Schulnummer
schulen_mit_kapa

 [1] "07G01" "07G02" "07G03" "07G05" "07G06" "07G07" "07G10" "07G12" "07G13" "07G14"
[11] "07G15" "07G16" "07G17" "07G18" "07G19" "07G20" "07G21" "07G22" "07G23" "07G24"
[21] "07G25" "07G26" "07G27" "07G28" "07G29" "07G30" "07G31" "07G32" "07G34" "07G35"
[31] "07G36" "07G37"

grundschulen = re_schulstand %>% as.data.frame() %>% filter(grepl('G', spatial_name)) %>% filter(BEZIRK == bezirk) %>% .$spatial_name
'In Anmeldeliste, fehlt in Schulstand'

[1] "In Anmeldeliste, fehlt in Schulstand"

setdiff(schulen_mit_kapa, grundschulen)

character(0)

'In re_schulstand, fehlt in Anmeldeliste'

[1] "In re_schulstand, fehlt in Anmeldeliste"

setdiff(grundschulen, schulen_mit_kapa)

character(0)

OMG nur bei Mitte mappt das perfekt! Alle anderen erfordern Nachforschungen.

map = get_map('Berlin')

Map from URL : http://maps.googleapis.com/maps/api/staticmap?center=Berlin&zoom=10&size=640x640&scale=2&maptype=terrain&language=en-EN&sensor=false
Information from URL : http://maps.googleapis.com/maps/api/geocode/json?address=Berlin&sensor=false

re_schulstand_df = re_schulstand_df %>% left_join(kapas, by=c('spatial_name'='Schulnummer'))

Warnung in left_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

data = re_schulstand_df %>% filter(grepl('G', spatial_name)) %>% filter(BEZIRK==bezirk) %>% mutate(has.capa=is.na(`Plätze`))
ggmap(map) + geom_point(aes(lon, lat, color=has.capa), data=data) +
    coord_map(xlim=c(min(data$lon)-0.01, max(data$lon)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01))

Ignorieren das Problem und tun so, als ob nur diese Schulen relevant sind:

relevant_schools = re_schulstand_df %>% filter(grepl('G', spatial_name)) %>% filter(BEZIRK==bezirk & !is.na(`Plätze`)) %>% .$spatial_name
relevant_schools

 [1] "07G01" "07G02" "07G03" "07G05" "07G06" "07G07" "07G10" "07G12" "07G13" "07G14"
[11] "07G15" "07G16" "07G17" "07G18" "07G19" "07G20" "07G21" "07G22" "07G23" "07G24"
[21] "07G25" "07G26" "07G27" "07G28" "07G29" "07G30" "07G31" "07G32" "07G34" "07G35"
[31] "07G36" "07G37"

Kinder im Bezirk auf Gebäude aufteilen

1. LORs in Neuköln
2. Finden aller Wohngebebäude in diesen LORs
3. Über einwohler_lor finden wir die durchschnittliche Kinderzahl pro _Wohngebäude

Mapping Bezirk->LOR->Block

df_bez = as.data.frame(bez)
df_lor = as.data.frame(lor)
df_blk = as.data.frame(blk)

LORs im Bezirk

bez_id = filter(df_bez, BEZNAME == bezirk)$BEZ
relevant_lors = df_lor %>% filter(BEZ == bez_id)
relevant_blks = df_blk %>% filter(BEZ == bez_id)

ggplot() + geom_path(aes(x=long, y=lat, group=group), data=lor[lor$BEZ == bez_id,]) + coord_map() + geom_path(aes(x=long, y=lat, group=group), data=bez, color='red')

Regions defined for each Polygons
Regions defined for each Polygons

Blöcke im Bezirk

ggplot() + geom_path(aes(x=long, y=lat, group=group), data=blk[blk$BEZ == bez_id,]) + coord_map() + geom_path(aes(x=long, y=lat, group=group), data=bez[bez$BEZ == bez_id,], color='red')

Regions defined for each Polygons
Regions defined for each Polygons

Wohngebäude in diesen LORs

Schon erledigt in sampled_buildings.

Alter

TODO neue Daten von Torres

relevant_ewr = einwohner_lor %>% select(RAUMID, E_E06_07) %>% filter(RAUMID %in% relevant_lors$PLR) %>%
  mutate(kids=as.numeric(gsub(',','.',E_E06_07))) %>% as.data.frame()
data = tidy(lor[lor$BEZ == bez_id,], region='PLR') %>% inner_join(relevant_ewr, by=c('id'='RAUMID'))
ggmap(map) + geom_polygon(aes(x=long, y=lat, group=group, fill=kids), data=data) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01))

Kids in BLKs

For each LOR distribute the children according to the number of people living in that block

kids_in_blks = relevant_blks %>% group_by(PLR) %>% mutate(EinwRatio = Einw/sum(Einw)) %>% ungroup %>% left_join(relevant_ewr, by=c('PLR'='RAUMID')) %>% mutate(kids = EinwRatio*kids) %>% select(BEZ, PLR, BLK, Einw, kids) %>% as.data.frame()

Warnung in left_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

row.names(kids_in_blks) = kids_in_blks$BLK
data = tidy(blk[blk$BEZ == bez_id,], region='BLK') %>% inner_join(kids_in_blks, by=c('id'='BLK')) %>% mutate(kids=ifelse(kids==0, NA, kids), Einw=ifelse(Einw==0, NA, Einw))

Warnung in inner_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

0

[1] 0

ggmap(map) + geom_polygon(aes(x=long, y=lat, group=group, fill=kids), data=data) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01))

Kapas

relevant_kapas = kapas %>% select(Schulnummer, Kapa=`Plätze`) %>% filter(Schulnummer %in% relevant_schools) %>% as.data.frame()
#row.names(relevant_kapas) = relevant_kapas$Schulnummer

Sanity

'Summe Kapas'

[1] "Summe Kapas"

relevant_kapas %>% .$Kapa %>% sum

[1] 2584

'Summe Kapas + extra'

[1] "Summe Kapas + extra"

relevant_kapas %>% .$Kapa_extra %>% sum

[1] 0

'Anmeldungen'

[1] "Anmeldungen"

kapas %>% mutate(Anmeldungen = as.numeric(gsub('[^0-9]', '', Anmeldungen))) %>% filter(Schulnummer %in% relevant_schools) %>% .$Anmeldungen %>% sum

[1] 2752

'Kids laut Statistik'

[1] "Kids laut Statistik"

kids_in_blks$kids %>% sum

[1] 2855

relevant_ewr$kids %>% sum

[1] 2855

Calculate mean distances to school per block

find block of each residential building

residential_buildings_blocks = sampled_buildings %>% inner_join(df_blk) %>% filter(BEZ == bez_id)

Joining, by = "BLK"
Warnung in inner_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

residential_buildings_blocks

routes_from_blks = residential_buildings_blocks %>%
  left_join(routen_matrix %>% filter(dst %in% relevant_schools), by=c('OI'='src'))
head(routes_from_blks)

Which blocks are relevant because there are residential buildings (TODO and someone lives there)

data = tidy(blk[blk$BEZ == bez_id,], region='BLK') %>% inner_join(routes_from_blks %>% group_by(BLK) %>% summarise(n=n()), by=c('id'='BLK'))
ggmap(map) + geom_polygon(aes(x=long, y=lat, group=group), fill='red', data=data) +
  #geom_point(aes(x=lon, y=lat), data=rb_df, color='black', size=0.01) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01))

travel_from_blks = routes_from_blks %>% as.data.frame() %>% group_by(BLK, dst) %>% summarise(min=min(distance), avg=mean(distance), med=median(distance), max=max(distance)) %>% ungroup
travel_from_blks

travel_from_blks %>% write_csv('data/travel_from_blks.csv')

Color Blocks by avg distance

data = tidy(blk[blk$BEZ == bez_id,], region='BLK') %>% left_join(travel_from_blks %>% group_by(BLK) %>% top_n(1, -avg), by=c('id'='BLK'))
ggmap(map) + geom_polygon(aes(x=long, y=lat, group=group, fill=-avg), data=data) +
  geom_point(aes(lon, lat), color='red', data = re_schulstand_df %>% filter(BEZIRK==bezirk & SCHULART=='Grundschule')) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01))

travel_matrix = travel_from_blks %>% select(BLK, dst, avg) %>% spread(dst, avg)
dim(travel_matrix)

[1] 1012   33

travel_matrix

Select relevant data

optim_kapas = relevant_kapas
optim_kids_in_blks = kids_in_blks %>% filter(kids > 0) %>% inner_join(travel_matrix, by='BLK') %>% select(BLK, kids) %>% mutate(kids=kids*0.88)

Warnung in inner_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining factor and character vector, coercing into character vector

nrow(optim_kids_in_blks)

[1] 1012

nrow(optim_kapas)

[1] 32

select_schools = as.character(optim_kapas$Schulnummer)
select_blks = as.character(optim_kids_in_blks$BLK)
optim_matrix = inner_join(optim_kids_in_blks, travel_matrix, by='BLK')[select_schools]
dim(optim_matrix)

[1] 1012   32

optim_kapas$Kapa %>% sum

[1] 2584

optim_kids_in_blks$kids %>% sum

[1] 2503.5

optim_matrix %>% write_csv('data/optim_matrix.csv')
optim_kapas %>% write_csv('data/optim_kapas.csv')
optim_kids_in_blks %>% write_csv('data/optim_blks.csv')

Naive solution (that doesn’t obey capacity constraints)

solution = optim_matrix %>% mutate(BLK=optim_kids_in_blks$BLK) %>% gather(school, dist, -BLK) %>% group_by(BLK) %>% top_n(1, -dist) %>% ungroup
optim_matrix %>% t %>% as.data.frame %>% summarise_each(funs(min)) %>% sum()

[1] 772227.6

solines = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school')) %>% inner_join(cbind(as.data.frame(coordinates(blk[blk$BEZ == bez_id,])), blk[blk$BEZ == bez_id,]@data['BLK']))

Joining, by = "BLK"
Warnung in inner_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

data = tidy(blk[blk$BEZ == bez_id,], region='BLK') %>% left_join(solution, by=c('id'='BLK'))
ggmap(map, darken = c(0.5, 'white')) + geom_polygon(aes(x=long, y=lat, group=group, fill=school), data=data) +
  geom_segment(aes(x=V1,y=V2,xend=lon,yend=lat), data=solines, size=0.3) +
  geom_point(aes(lon, lat), color='black', size=2, data = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school'))) +
  geom_point(aes(lon, lat, color=spatial_name), data = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school'))) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01)) +
  guides(color=F, fill=F)

solution %>% inner_join(travel_from_blks, by=c('BLK'='BLK', 'school'='dst')) %>% summarise_each("max", -BLK, -school, -dist)

JuMP

julia jump.jl

solution = read_csv('data/solution_jump.csv') %>% setNames(., select_schools) %>%
  mutate(BLK=select_blks) %>% gather(school, assigned, -BLK) %>% filter(assigned > 0)

Parsed with column specification:
cols(
  .default = col_double()
)
See spec(...) for full column specifications.

solution %>% select(BLK, school) %>% write_csv('ESB_BLK.csv')
solines = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school')) %>% inner_join(cbind(as.data.frame(coordinates(blk[blk$BEZ == bez_id,])), blk[blk$BEZ == bez_id,]@data['BLK']))

Joining, by = "BLK"
Warnung in inner_join_impl(x, y, by$x, by$y, suffix$x, suffix$y)
  joining character vector and factor, coercing into character vector

data = tidy(blk[blk$BEZ == bez_id,], region='BLK') %>% left_join(solution, by=c('id'='BLK'))
ggmap(map, darken = c(0.5, 'white')) + geom_polygon(aes(x=long, y=lat, group=group, fill=school), data=data) +
  geom_segment(aes(x=V1,y=V2,xend=lon,yend=lat), data=solines, size=0.3) +
  geom_point(aes(lon, lat), color='black', size=2, data = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school'))) +
  geom_point(aes(lon, lat, color=spatial_name), data = re_schulstand_df %>% inner_join(solution, by=c('spatial_name'='school'))) +
  coord_map(xlim=c(min(data$long)-0.01, max(data$long)+0.01), ylim=c(min(data$lat)-0.01, max(data$lat)+0.01)) +
  guides(color=F, fill=F)

solution %>% inner_join(travel_from_blks, by=c('BLK'='BLK', 'school'='dst')) %>% summarise_all(max)

sum(read_csv('data/solution_jump.csv') * optim_matrix)

Parsed with column specification:
cols(
  .default = col_double()
)
See spec(...) for full column specifications.

[1] 813200.1

sum(read_csv('data/solution_jump.csv') * optim_matrix * optim_kids_in_blks$kids)

Parsed with column specification:
cols(
  .default = col_double()
)
See spec(...) for full column specifications.

[1] 2184292

Display

library(formattable)

solution %>% inner_join(optim_kids_in_blks, by='BLK') %>% inner_join(travel_from_blks, by=c('BLK'='BLK', 'school'='dst')) %>%
  group_by(school) %>% summarise(
    kids=sum(kids),
    num_blocks=n(),
    min_dist=min(min),
    avg_dist=mean((kids*avg)/sum(kids)),
    max_dist=max(max)
  ) %>%
  inner_join(relevant_kapas, by=c('school'='Schulnummer')) %>%
  mutate(
    utilization=kids/Kapa
  ) %>% select(
   Schule=school,
   `Blöcke`=num_blocks,
   Kapazität=Kapa,
   Kinder=kids,
   Auslastung=utilization,
   `Weg (min)`=min_dist,
   `Weg (Ø)`=avg_dist,
   `Weg (max)`=max_dist
  ) %>%
  formattable(
    list(
      Kinder = formatter("span", x ~ digits(x, 2)),
      Auslastung = formatter("span",
        style = x ~ style(color = ifelse(x < 1, "green", "red")),
        x ~ icontext(ifelse(x < 1, "ok", "remove"), percent(x))
      ),
      `Weg (Ø)` = proportion_bar("lightblue"),
      `Weg (min)` = proportion_bar("lightblue"),
      `Weg (max)` = proportion_bar("lightblue")
    )
  )

Daten für das Tool

write_rds(solution, 'tool/init_solution.rds')
write_rds(subset(blk, BEZ == bez_id), 'tool/blocks.rds')
write_rds(subset(re_schulstand_df, spatial_name %in% relevant_schools), 'tool/schools.rds')
write_rds(subset(bez, BEZ == bez_id), 'tool/bez.rds')
block_stats = optim_kids_in_blks %>% inner_join(travel_from_blks, by=c('BLK'='BLK')) %>% inner_join(relevant_kapas, by=c('dst'='Schulnummer')) %>% inner_join(re_schulstand_df, by=c('dst'='spatial_name'))
write_rds(block_stats, 'tool/block_stats.rds')